Corpus ID: 119321429

Introduction to chtoucas for reductive groups and to the global Langlands parameterization

@article{Lafforgue2014IntroductionTC,
  title={Introduction to chtoucas for reductive groups and to the global Langlands parameterization},
  author={V. Lafforgue},
  journal={arXiv: Algebraic Geometry},
  year={2014}
}
  • V. Lafforgue
  • Published 2014
  • Mathematics
  • arXiv: Algebraic Geometry
  • This is a translation in English of version 3 of the article arXiv:1404.3998, which is itself an introduction to arXiv:1209.5352. We explain all the ideas of the proof of the following theorem. For any reductive group G over a global function field, we use the cohomology of G-shtukas with multiple modifications and the geometric Satake equivalence to prove the global Langlands correspondence for G in the direction "from automorphic to Galois". Moreover we obtain a canonical decomposition of the… CONTINUE READING
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